Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(1 + -3\right)}^{2} + 6\times2 - \left(3 - 4\right) $$
Correct Answer
$$ 17$$ or 17.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2\times3\times1}{\left(5 - 4\right)\left(3 - -4\right)} $$
Correct Answer
$$ \frac{6}{7}$$ or 0.857143

3. Fractions 1

Simplify the following expression: $$ \frac{-5}{4} - \frac{1}{2} $$
Correct Answer
$$ \frac{-7}{4}$$ or -1.75

4. Fractions 2

Simplify the following expression: $$ \frac{-4}{6}\frac{-5}{3} $$
Correct Answer
$$ \frac{10}{9}$$ or 1.1111111111111112

5. Significant figures

1. Write the following to 4 significant figures: 7273.8594
Correct Answer
7274 or $$7.274\times10^{3}$$
2. Write the following to 2 significant figures: 1583.1485
Correct Answer
1600 or $$1.6\times10^{3}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.0000887986
Correct Answer
$$8.880\times10^{-5}$$
2. Write the following in standard form to 3 significant digits: 10945.4
Correct Answer
$$1.09\times10^{4}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 325
Correct Answer
$$330\times10^{0}$$
2. Write the following in preferred standard form to 4 significant digits: 0.000046740
Correct Answer
$$46.74\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ {\left(2 + 2\right)}^{2} - \frac{-4\times2}{-6 - -1} $$
Correct Answer
$$ \frac{72}{5}$$ or 14.4000

9. Simplify 1

Simplify the following expression: $$ {\left(3 + 6\right)}^{2} + 1 + -2 - 3(-2) $$
Correct Answer
$$ 86$$ or 86.0000

10. Simplify 2

Simplify the following expression: $$ 2\frac{3}{-3} - \frac{-5 - 3}{-4 + -4} $$
Correct Answer
$$ -3$$ or -3.00000


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